The population of a certain species of insects in a nearby farm increases exponentially according to the model, P(t)=1240e^0.105t where P is the number of insects and t is the time in weeks since the original colony settled in the farm. A) Find the rate of increase of the insects population for each week that passed by. B) How many insects would you expect to be in the colony after 16 weeks if the population growth follows the model? C) How long will it take for the population to reach 15000?

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